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A Bayesian analysis of directional data using the projected normal distribution
Authors:Gabriel Nuñez-Antonio  Eduardo Gutiérrez-Peña
Affiliation:1. Autonomous Technological Institute of Mexico;2. Autonomous National University of Mexico
Abstract:This paper presents a Bayesian analysis of the projected normal distribution, which is a flexible and useful distribution for the analysis of directional data. We obtain samples from the posterior distribution using the Gibbs sampler after the introduction of suitably chosen latent variables. The procedure is illustrated using simulated data as well as a real data set previously analysed in the literature.
Keywords:Circular data  Gibbs sampler  latent variables  radial projection  spherical data
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